Triangle Proofs

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Tags

CCSS.2.G.A.1

Front

What are the types of triangles based on side lengths?

Back

Equilateral, Isosceles, and Scalene.

Tags

CCSS.4.G.A.2

Front

What are the types of triangles based on angles?

Back

Acute, Right, and Obtuse.

Tags

CCSS.4.G.A.2

Front

What does CPCTC stand for?

Back

Corresponding Parts of Congruent Triangles are Congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the Angle-Side-Angle (ASA) congruence postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) congruence postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Side-Side (SSS) congruence postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle-Side (AAS) congruence postulate?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What is the purpose of triangle proofs?

Back

To demonstrate the congruence of triangles using logical reasoning and established postulates.